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Finding the Fourth Proportional to 410,142.40, 615,213.60 and 188,958.40

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Solution

The fourth proportional to 410,142.40, 615,213.60 and 188,958.40 is: 283,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142.40 : 615,213.60 = 188,958.40 : x
  2. Step 2: Convert to fraction form
    410,142.40/615,213.60 = 188,958.40/x
  3. Step 3: Cross multiply
    410,142.40x = 615,213.60 × 188,958.40
  4. Step 4: Simplify right side
    410,142.40x = 116,249,777,514.24
  5. Step 5: Solve for x
    x = 116,249,777,514.24/410,142.40
  6. Step 6: Final answer
    x = 283,437.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.